Finite Group Databasebeta

← #6345747

Subgroups — #6345747

Order 512.

1665 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60700C211yesmaximal, characteristic
2#60266C211yesmaximal, characteristic, complemented
3#60237C211yesmaximal, characteristic, complemented
4#18073C212yesmaximal, complemented
5#18071C212yesmaximal, complemented
6#18067C212yesmaximal, complemented
7#18066C212yesmaximal, complemented
8#18052C214yesmaximal, complemented
9#18050C214yesmaximal, complemented
10#17987C214yesmaximal, complemented
11#17968C214yesmaximal, complemented
12C2×#1569C211yesmaximal, characteristic, complemented
13#17488C211yesmaximal, characteristic, complemented
14#17485C211yesmaximal, characteristic, complemented
15#17327C211yesmaximal, characteristic, complemented
16#3444C2211yescharacteristic
17C2×#532C2211yescharacteristic
18#3184C412yes—
19#3182C412yes—
20#3180C412yes—
21#3180C412yes—
22#3171C2212yes—
23#3171C2212yes—
24#3169C2212yes—
25#3167C2212yes—
26#3165C411yescharacteristic
27#3151C411yescharacteristic
28#3141C411yescharacteristic
29#3138C411yescharacteristic
30#3055C414yes—
31#2995—22no—
32#2993C2214yescomplemented
33#2991C2212yes—
34#2990C2212yes—
35#2989—22no—
36#2981C2214yes—
37#2980—22no—
38#2974C2214yes—
39#2973—22no—
40#2962C2212yescomplemented
41C4×AGL(1,ℤ/8)C2214yes—
42#2935C2212yes—
43#2935C2212yes—
44#2935C2212yescomplemented
45#2932—21no—
46#2932—21no—
47#2930—22no—
48#2925—21no—
49#2920C2211yescharacteristic
50C2×#432C2211yescharacteristic
51C2×#431C2211yescharacteristic
52#2906—21no—
53C2×#423C2211yescharacteristic
54#2880—22no—
55C2×C4×M16C2211yescharacteristic
56#1594C2214yescomplemented
57#1592C2214yescomplemented
58#1590C2214yescomplemented
59#1589C2214yescomplemented
60#1588C2214yescomplemented
61#1586C2214yescomplemented
62#1586C2214yescomplemented
63#1585C2214yescomplemented
64#1583C2214yescomplemented
65#1582C2214yescomplemented
66#1581C2214yescomplemented
67#1581C2214yescomplemented
68#1580C2214yescomplemented
69SD16⋊C8C2214yescomplemented
70C8×SD16C2214yescomplemented
71C8×D8C2214yescomplemented
72#1569C2212yes—
73#1569C2212yes—
74#1569C2212yescomplemented
75#1569C2212yescomplemented
76C2×#335C2212yescomplemented
77C2×#334C2212yescomplemented
78#1494C2214yescomplemented
79#1492C2214yes—
80#1488C2214yes—
81#1486C2212yes—
82#1486C2212yes—
83#1481C2211yescharacteristic, complemented
84#1481C2211yescharacteristic, complemented
85#1480C2212yes—
86#1480C2212yes—
87#1480C2211yescharacteristic, complemented
88#1480C2211yescharacteristic, complemented
89#1453C2214yes—
90#1451C2212yescomplemented
91#1451C2212yescomplemented
92C8×M16C2212yescomplemented
93C8×M16C2212yescomplemented
94C22×#41—21no—
95C2×AGL(1,ℤ/8)C2×C414yes—
96C2×#131—22no—
97C2×#131—22no—
98C2×#131—22no—
99C22×M16—21no—
100C22×M16C2×C412yes—
101#533C2×C411yescharacteristic
102#533C2×C411yescharacteristic
103#533C2311yescharacteristic
104#532—21no—
105#532—21no—
106#532—21no—
107#532—21no—
108#532C2×C411yescharacteristic
109#532C2×C412yes—
110#532C2×C412yes—
111#532C2×C411yescharacteristic
112#532C2312yes—
113#532C2311yescharacteristic
114#532C2312yes—
115C2×C4⋊Q8C2×C411yescharacteristic
116C2×#127C2×C411yescharacteristic
117#529—21no—
118#529—21no—
119#529—21no—
120#529—21no—
121#529C2×C412yes—
122#529C2312yes—
123C2×#124—21no—
124#525—21no—
125#525—21no—
126#525C2×C412yes—
127C2×#121—21no—
128C2×#121C2×C412yes—
129C4×#41—21no—
130C4×#41—21no—
131C4×#41C2312yes—
132C2×C4×D4—21no—
133C2×C4×D4C2312yes—
134C22×C42C2311yescharacteristic
135#501C2×C412yes—
136#501C2×C412yes—
137#500C2×C412yes—
138#498C2×C412yes—
139#496C2×C412yes—
140#496C2×C412yes—
141#493C2×C412yes—
142#492C2×C412yes—
143#490C2×C412yes—
144#490C2×C412yes—
145#489C2×C412yes—
146#489C2×C412yes—
147#487C2×C412yes—
148#486C2×C412yes—
149#486C2×C412yes—
150#486C2×C412yes—
151#469C2×C414yes—
152#469C2×C414yes—
153#468C2×C414yes—
154#468C2×C414yes—
155#466C2×C414yes—
156#466C2×C414yes—
157#465C2×C414yes—
158#465C2×C414yes—
159#446—24no—
160#446C2314yes—
161C8×Q8C2314yes—
162#442C2×C414yes—
163#442C2×C414yes—
164#440C2×C414yes—
165#440C2×C414yes—
166C4×SD16C2314yes—
167C4×SD16C2314yes—
168C4×D8C2314yes—
169C4×D8C2314yes—
170#436—24no—
171#436—24no—
172#436C2314yes—
173#436C2314yes—
174#436C2314yes—
175#435—24no—
176#435—24no—
177#435—24no—
178#435—24no—
179#435—24no—
180#435—24no—
181#435—24no—
182#435—24no—
183#435—24no—
184C8×D4C2314yes—
185C8×D4C2314yes—
186C8×D4C2314yes—
187#433—24no—
188#432—21no—
189#432—21no—
190#432—22no—
191#432D412yes—
192#432D412yes—
193#432C2312yes—
194#432C2312yes—
195#431—21no—
196#431—21no—
197#431—22no—
198#431C2311yescharacteristic
199#431C2311yescharacteristic
200#431C2312yes—
201#431C2312yes—
202#431C2312yes—
203#428C2×C414yes—
204#424—22no—
205#424—24no—
206#423—21no—
207#423—21no—
208#423—22no—
209#423D411yescharacteristic
210#423D411yescharacteristic
211#423C2311yescharacteristic
212#423C2311yescharacteristic
213#423C2312yes—
214C2×C4⋊C8—21no—
215C2×C4⋊C8—21no—
216C2×C4⋊C8—22no—
217C2×C4⋊C8C2311yescharacteristic
218C2×C4⋊C8C2312yes—
219C2×C4⋊C8C2311yescharacteristic
220#418C2×C414yes—
221#417C2×C414yes—
222#408—22no—
223#408—22no—
224#408—22no—
225#408—24no—
226#408—24no—
227#407—24no—
228#407D412yes—
229C2×C22⋊C8—21no—
230C2×C22⋊C8—21no—
231C2×C22⋊C8—24no—
232#405—22no—
233C4×M16C2×C411yescharacteristic
234C4×M16C2×C411yescharacteristic
235C4×M16C2×C412yes—
236C4×M16C2312yes—
237C4×M16C2311yescharacteristic
238C4×M16C2311yescharacteristic
239C4×M16C2312yes—
240C2×#97—21no—
241C2×#97C2×C411yescharacteristic
242C2×#97C2×C411yescharacteristic
243C2×C4×C8C2312yes—
244C2×C4×C8C2312yes—
245#335C2312yes—
246#335C2312yes—
247#335C2312yes—
248#335C2312yes—
249#334C2312yes—
250#334C2312yes—
251#334C2312yes—
252#334C2312yes—
253Q8⋊C8C2314yes—
254Q8⋊C8C2314yes—
255D4⋊C8C2314yes—
256D4⋊C8C2314yes—
257D4⋊C8C2314yes—
258D4⋊C8C2314yes—
259D4⋊C8C2314yes—
260D4⋊C8C2314yes—
261#322C2314yes—
262#322C2314yes—
263#322C2314yes—
264C82C2314yes—
265C2×#41—21no—
266C2×#41—22no—
267C2×#41—22no—
268C2×#41—21no—
269C2×#41—22no—
270C2×#41—22no—
271C2×#41—82no—
272C2×#41—82no—
273C2×#41C22×C412yes—
274C22×Q8—21no—
275C22×D4—22no—
276C22×D4—21no—
277C22×D4—21no—
278C22×D4C22×C412yes—
279C23×C4—22no—
280C23×C4C22×C411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4#4111yescharacteristic
283AGL(1,ℤ/8)—48no—
284C2×SD16C22×C414yes—
285C2×SD16C22×C414yes—
286C2×D8C22×C414yes—
287C2×D8C22×C414yes—
288#131—84no—
289#131—84no—
290#131—84no—
291C2×M16—21no—
292C2×M16—22no—
293C2×M16—21no—
294C2×M16—24no—
295C2×M16—24no—
296C2×M16—24no—
297C2×M16—44no—
298C2×M16—82no—
299C2×M16C22×C412yes—
300C2×M16C22×C412yes—
301C2×M16C22×C412yes—
302C2×M16C22×C412yes—
303C2×M16C2×D412yes—
304C2×M16C2×D412yes—
305C22×C8—22no—
306C22×C8—21no—
307C22×C8—21no—
308C22×C8—22no—
309C22×C8—24no—
310C22×C8—24no—
311C22×C8—24no—
312C22×C8C22×C412yes—
313C22×C8C22×C412yes—
314C4⋊Q8—21no—
315C4⋊Q8—21no—
316C4⋊Q8C22×C411yescharacteristic
317C4⋊Q8C22×C412yes—
318C4⋊Q8C22×C412yes—
319C4⋊Q8C22×C411yescharacteristic
320C4⋊Q8C22×C411yescharacteristic
321#127—21no—
322#127—21no—
323#127C22×C412yes—
324#127C22×C412yes—
325#127C22×C411yescharacteristic
326#126—22no—
327#126—22no—
328#125—21no—
329#125—21no—
330#125C22×C412yes—
331#124—22no—
332#124—22no—
333#124—21no—
334#124—22no—
335#124—22no—
336#124—21no—
337#124C22×C412yes—
338#123—22no—
339#123—22no—
340#123—22no—
341C22⋊Q8—21no—
342C22⋊Q8—21no—
343C22⋊Q8—21no—
344C22⋊Q8—21no—
345C22⋊Q8C22×C412yes—
346C22⋊Q8C22×C412yes—
347#121—22no—
348#121—22no—
349#121—22no—
350#121—22no—
351#121—21no—
352#121—21no—
353#121—21no—
354#121—22no—
355#121—22no—
356#121—21no—
357#121C22×C414yes—
358#121C22×C414yes—
359#121C22×C412yes—
360#121C22×C412yes—
361#120—22no—
362C4×Q8—21no—
363C4×Q8—21no—
364C4×Q8—21no—
365C4×Q8—21no—
366C4×Q8C22×C412yes—
367C4×Q8C2412yes—
368C4×D4—22no—
369C4×D4—22no—
370C4×D4—22no—
371C4×D4—22no—
372C4×D4—22no—
373C4×D4—22no—
374C4×D4—22no—
375C4×D4—22no—
376C4×D4—21no—
377C4×D4—21no—
378C4×D4—21no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4—21no—
383C4×D4—22no—
384C4×D4C22×C414yes—
385C4×D4C22×C412yes—
386C4×D4C2414yes—
387C4×D4C2412yes—
388#117—21no—
389#117—21no—
390#117—22no—
391#117—22no—
392#117—22no—
393#117C22×C412yes—
394C2×C4⋊C4—21no—
395C2×C4⋊C4C22×C412yes—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C42—22no—
399C2×C42C22×C411yescharacteristic
400C2×C42C22×C411yescharacteristic
401C2×C42C22×C411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42#4111yescharacteristic
406C2×C42#4111yescharacteristic
407C2×C42#4111yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411#107C22×C414yes—
412#107C22×C414yes—
413#106C22×C414yes—
414#106C22×C414yes—
415C4⋊C8—24no—
416C4⋊C8—24no—
417C4⋊C8—21no—
418C4⋊C8—21no—
419C4⋊C8—22no—
420C4⋊C8—22no—
421C4⋊C8—21no—
422C4⋊C8—21no—
423C4⋊C8—22no—
424C4⋊C8—21no—
425C4⋊C8—21no—
426C4⋊C8C2×D412yes—
427C4⋊C8C2×D412yes—
428C4⋊C8C2×D412yes—
429C4⋊C8C2×D412yes—
430C4⋊C8C2412yes—
431C4⋊C8C2412yes—
432C4⋊C8C2412yes—
433C4⋊C8C2412yes—
434#103C22×C414yes—
435#103C22×C414yes—
436#102C22×C414yes—
437#102C22×C414yes—
438#102C22×C414yes—
439#102C22×C414yes—
440#102C22×C414yes—
441#102C22×C414yes—
442C22⋊C8—22no—
443C22⋊C8—22no—
444C22⋊C8—22no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8—24no—
448C22⋊C8—24no—
449C22⋊C8—24no—
450C22⋊C8—24no—
451C22⋊C8—24no—
452C22⋊C8—24no—
453C22⋊C8C2×D414yes—
454C22⋊C8C2×D414yes—
455#97—24no—
456#97—22no—
457#97—22no—
458#97C22×C412yes—
459#97C22×C412yes—
460#97C22×C411yescharacteristic
461#97C22×C411yescharacteristic
462#97C22×C411yescharacteristic
463#97C22×C411yescharacteristic
464#97C2×D414yes—
465C4×C8—24no—
466C4×C8—22no—
467C4×C8C22×C412yes—
468C4×C8C22×C412yes—
469C4×C8C2412yes—
470C4×C8C2412yes—
471C4×C8C2412yes—
472C4×C8C2412yes—
473C4×C8C2414yes—
474C24—22no—
475C24C4×D411yescharacteristic
476#41—44no—
477#41—42no—
478#41—44no—
479#41—44no—
480#41—42no—
481#41—82no—
482#41—82no—
483#41—84no—
484#41—84no—
485#41—82no—
486C2×Q8—21no—
487C2×Q8—22no—
488C2×Q8—21no—
489C2×Q8—22no—
490C2×Q8—82no—
491C2×Q8C23×C412yes—
492C2×D4—22no—
493C2×D4—24no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—24no—
497C2×D4—21no—
498C2×D4—22no—
499C2×D4—21no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—44no—
505C2×D4—82no—
506C2×D4—82no—
507C2×D4—84no—
508C2×D4C23×C412yes—
509C2×D4C23×C414yes—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—24no—
518C22×C4—42no—
519C22×C4—82no—
520C22×C4—82no—
521C22×C4—81no—
522C22×C4C4×D411yescharacteristic
523C22×C4C4×D411yescharacteristic
524C22×C4C4×D411yescharacteristic
525C22×C4C4×D411yescharacteristic
526C22×C4C4×D411yescharacteristic
527C22×C4C4×D411yescharacteristic
528C22×C4C4×D411yescharacteristic
529C22×C4C4×D411yescharacteristic
530C22×C4C4×D411yescharacteristic
531C22×C4C23×C411yescharacteristic
532C22×C4C23×C411yescharacteristic
533C22×C4C23×C411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C2×#4111yescharacteristic
538C22×C4C2×#4111yescharacteristic
539C22×C4C2×#4111yescharacteristic
540SD16—28no—
541SD16—44no—
542D8—28no—
543D8—44no—
544M16—24no—
545M16—24no—
546M16—24no—
547M16—24no—
548M16—42no—
549M16—42no—
550M16—84no—
551M16—84no—
552M16—84no—
553M16—81no—
554M16—82no—
555M16—81no—
556C2×C8—24no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—42no—
564C2×C8—44no—
565C2×C8—42no—
566C2×C8—42no—
567C2×C8—84no—
568C2×C8—84no—
569C2×C8—84no—
570C2×C8—82no—
571C2×C8C23×C412yes—
572C2×C8C23×C412yes—
573C2×C8C23×C412yes—
574C2×C8C23×C412yes—
575C2×C8C22×D414yes—
576C2×C8C22×D414yes—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4C23×C412yes—
591C4⋊C4C23×C412yes—
592C4⋊C4C23×C414yes—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—22no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—24no—
605C22⋊C4—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42C4×D411yescharacteristic
610C42C4×D411yescharacteristic
611C42C4×D411yescharacteristic
612C42C4×D411yescharacteristic
613C42C4×D411yescharacteristic
614C42C4×D411yescharacteristic
615C42C23×C411yescharacteristic
616C42C23×C411yescharacteristic
617C42C23×C411yescharacteristic
618C42C22×D411yescharacteristic
619C42C22×D411yescharacteristic
620C42C22×D411yescharacteristic
621C42C2×#4111yescharacteristic
622C42C2×#4111yescharacteristic
623C42C2×#4111yescharacteristic
624C42C2511yescharacteristic
625C23—22no—
626C23—22no—
627C23—24no—
628C23—41no—
629C23—41no—
630C23—44no—
631C23—82no—
632C23—82no—
633C23C2×C4×D411yescharacteristic
634C23C2×C4×D411yescharacteristic
635C23C2×C4×D411yescharacteristic
636Q8—24no—
637Q8—44no—
638Q8—42no—
639Q8—82no—
640Q8—81no—
641D4—24no—
642D4—24no—
643D4—24no—
644D4—48no—
645D4—44no—
646D4—44no—
647D4—42no—
648D4—82no—
649D4—82no—
650D4—82no—
651D4—82no—
652D4—81no—
653D4—84no—
654D4—82no—
655D4—82no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—84no—
685C2×C4—82no—
686C2×C4—82no—
687C2×C4C2×C4×D411yescharacteristic
688C2×C4C2×C4×D411yescharacteristic
689C2×C4C2×C4×D411yescharacteristic
690C2×C4C2×C4×D411yescharacteristic
691C2×C4C2×C4×D411yescharacteristic
692C2×C4C2×C4×D411yescharacteristic
693C2×C4C2×C4×D411yescharacteristic
694C2×C4C2×C4×D411yescharacteristic
695C2×C4C2×C4×D411yescharacteristic
696C2×C4#57612yes—
697C2×C4#57712yes—
698C2×C4C24×C411yescharacteristic
699C2×C4C23×D411yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C8—22no—
702C8—22no—
703C8—22no—
704C8—24no—
705C8—24no—
706C8—42no—
707C8—42no—
708C8—42no—
709C8—42no—
710C8—42no—
711C8—42no—
712C8#56814yes—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—42no—
722C22—44no—
723C22—42no—
724C22—44no—
725C22—44no—
726C22—42no—
727C22—82no—
728C22—164no—
729C22#294612yes—
730C22C22×C4×D411yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—21no—
735C4—21no—
736C4—21no—
737C4—21no—
738C4—21no—
739C4—21no—
740C4—42no—
741C4—42no—
742C4—44no—
743C4—42no—
744C4#294612yes—
745C4C2×#56812yes—
746C4C2×#57611yescharacteristic
747C4C2×#57711yescharacteristic
748C2—22no—
749C2—41no—
750C2—41no—
751C2—82no—
752C2—84no—
753C2#6014411yescharacteristic
754C2C2×#294611yescharacteristic
755C2#6018211yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#60700C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ #2920 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #60266C2semidirect
3. #60237C2semidirect
4. #18073C2semidirect
5. #18071C2semidirect
6. #18067C2semidirect
7. #18066C2semidirect
8. #18052C2semidirect
9. #18050C2semidirect
10. #17987C2semidirect
11. #17968C2semidirect
12. C2×#1569C2semidirect
13. #17488C2semidirect
14. #17485C2semidirect
15. #17327C2semidirect
32. #2993C22semidirect
40. #2962C22semidirect
44. #2935C22semidirect
56. #1594C22semidirect
57. #1592C22semidirect
58. #1590C22semidirect
59. #1589C22semidirect
60. #1588C22semidirect
61. #1586C22semidirect
62. #1586C22semidirect
63. #1585C22semidirect
64. #1583C22semidirect
65. #1582C22semidirect
66. #1581C22semidirect
67. #1581C22semidirect
68. #1580C22semidirect
69. SD16⋊C8C22semidirect
70. C8×SD16C22semidirect
71. C8×D8C22semidirect
74. #1569C22semidirect
75. #1569C22semidirect
76. C2×#335C22semidirect
77. C2×#334C22semidirect
78. #1494C22semidirect
83. #1481C22semidirect
84. #1481C22semidirect
87. #1480C22semidirect
88. #1480C22semidirect
90. #1451C22semidirect
91. #1451C22semidirect
92. C8×M16C22semidirect
93. C8×M16C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#607002
#602662
#602372
#180732
#180712
#180672
#180662
#180522
#180502
#179872
#179682
C2×#15692
#174882
#174852
#173272